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Finding the Fourth Proportional to 87.07, 119.97 and 59.41

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Solution

The fourth proportional to 87.07, 119.97 and 59.41 is: 81.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.07 : 119.97 = 59.41 : x
  2. Step 2: Convert to fraction form
    87.07/119.97 = 59.41/x
  3. Step 3: Cross multiply
    87.07x = 119.97 × 59.41
  4. Step 4: Simplify right side
    87.07x = 7,127.42
  5. Step 5: Solve for x
    x = 7,127.42/87.07
  6. Step 6: Final answer
    x = 81.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.